Question

If m is the midpoint of ST, write an equation that describes the relationship between ST and MT

Answer 1

`2 \text{MT} = \text{ST}` OR

`\text{MT}=(1)/(2) \text{ST}`

Explanation:

We have,
`\text{M}` is the mid point of
`\text{ST}`.

We know that a mid point divides a line segment into two equal parts.

So,
`\text{SM} = \text{MT}`

Also,
`\text{M}` is the point on line segment
`\text{ST}`.

So,
`\text{SM} + \text{MT} = \text{ST}`

Now, substituting
`\text{MT}` in place of
`\text{SM}`

We get,

`\text{MT} + \text{MT} = \text{ST}`

`2 \text{MT} = \text{ST}`

OR

`\text{MT}=(1)/(2) \text{ST}`

Answer 2

ST is two times MT

Explanation:

we know that

ST=SM+MT -----> equation A (by addition segment postulate)

If m is the midpoint of ST

then

SM=MT -----> equation B

Substitute equation B in equation A

ST=(MT)+MT

ST=2MT

therefore

ST is two times MT